Ask question

Ask question

All categories

LuckyWell [14K]

2 years ago

7

When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol

a has its vertex at

2 answers:

never [62]2 years ago

8 0

(-2 - 3 , - 3 + 2) = (-5 , -1)

have fun :)))))))))

amid [387]2 years ago

4 0

<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex.

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>

You might be interested in

The sum of 5 fifteens and 3 fifteens

Flauer [41]

Answer:

(5 x 15) + (3 x 15) = 120

Step-by-step explanation:

5 x 15 = 75

3 x 15 = 45

75 + 45 = 120

Hope this helps :)

4 0

2 years ago

Read 2 more answers

Plz help plz help plz help plz help plz help plz help plz help plz help plz help

Kay [80]

Answer:

a)1.41666667 b)705882353 / 1000000000

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

From 1000 students half being boys and half being girls 100 names were pulled out of a hat to complete a survey for school what

Mama L [17]

Random sampling. its where you pick or make a smaple at random

6 0

2 years ago

Read 2 more answers

Find f(3).<br><br> f(x) = x2 + 5x - 9<br> A) 7 <br> B) 10 <br> C) 9 <br> D) 15

Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

<u>Numeric Value of a Function</u>

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

$f(x)=x^2+5x-9$

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

$f(3)=3^2+5(3)-9$

$f(3)=9+15-9$

$f(3)=15$

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0

3 years ago

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

2 years ago